GCD of 100, 825, 254, 153 Calculator

Given Input numbers are 100, 825, 254, 153

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (100, 825, 254, 153) = 1.

Given numbers are 100, 825, 254, 153

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 254 are 2 x 127

Prime factors of 153 are 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 100, 825, 254, 153

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 825) = 3300

GCD(100, 825) = ( 100 x 825 ) / 3300

= 100 / 825

= 100

Step2:

LCM(25, 254) = 6350

GCD(25, 254) = ( 25 x 254 ) / 6350

= 25 / 254

= 25

Step3:

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

= 1 / 153

= 1

So, Greatest Common Divisor of 100, 825, 254, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 896, 464, 273
• GCD of 436, 691, 871, 210
• GCD of 658, 878, 453, 319
• GCD of 646, 684, 923, 835
• GCD of 777, 736, 495, 838

Given numbers are 100, 825, 254, 153
The greatest common divisor of numbers 100, 825, 254, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 825, 254, 153 is 1.

1. What is the GCD of 100, 825, 254, 153?

GCD of given numbers 100, 825, 254, 153 is 1

2. How to calculate the greatest common divisor of 100, 825, 254, 153?

We can find the highest common divisor of 100, 825, 254, 153 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 825, 254, 153 i.e 1.

3. How can I use the GCD of 100, 825, 254, 153Calculator?

Out the numbers 100, 825, 254, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.